Atkin-Lehner |
2+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60352b |
Isogeny class |
Conductor |
60352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
329358395767390208 = 217 · 232 · 416 |
Discriminant |
Eigenvalues |
2+ -2 2 -4 2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-182177,-11607617] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:2485:1] |
Generators of the group modulo torsion |
j |
5101487277496274/2512805143489 |
j-invariant |
L |
3.0364429580027 |
L(r)(E,1)/r! |
Ω |
0.24300647219664 |
Real period |
R |
6.2476586122742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60352n2 7544a2 |
Quadratic twists by: -4 8 |